Section 14.3 Partial Derivatives

The van der Waals equation for \(n\) moles of a gas is
\[\left(P + \frac{n^2 a}{V^2} \right)(V - nb) = nRT\]
where \(P\) is the pressure, \(V\) is the volume, and \(T\) is the temperature of the gas. The constant \(R\) is the universal gas constant and \(a\) and \(b\) are positive constants.
Calculate \(\partial T / \partial P\) and \(\partial P / \partial V\).